26 citations · 88 across the 23 of their papers we have counts for
23 papers
Complete Mappings of Semigroups
João Araújo, Wolfram Bentz, Peter J. Cameron +2
A complete mapping of a semigroup is a bijection such that the map defined by is also a bijection. Equivalently, it determines…
Conjugacy in inverse semigroups
Joao Araujo, Michael Kinyon, Janusz Konieczny
In a group , elements and are conjugate if there exists such that . This conjugacy relation, which plays an important role in group theory, can be…
Decidability and Independence of Conjugacy Problems in Finitely Presented Monoids
João Araújo, Michael Kinyon, Janusz Konieczny +1
There have been several attempts to extend the notion of conjugacy from groups to monoids. The aim of this paper is study the decidability and independence of conjugacy problems fo…
Congruences on Direct Products of Transformation and Matrix Monoids
João Araújo, Wolfram Bentz, Gracinda Gomes
Malcev described the congruences of the monoid of all full transformations on a finite set . Since then, congruences have been characterized in various ot…
Four Notions of Conjugacy for Abstract Semigroups
J. Araújo, Michael Kinyon, Janusz Konieczny +1
The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been many attempts to find notions of c…
The rank of the semigroup of transformations stabilising a partition of a finite set
Joao Araujo, Wolfram Bentz, J. D. Mitchell +1
Let be a partition of a finite set . We say that a full transformation preserves (or stabilizes) the partition if for all $P\in \mathcal{P…